Rosie, Matilda and Ibrahim collect stickers - Edexcel - GCSE Maths - Question 6 - 2021 - Paper 1
Question 6
Rosie, Matilda and Ibrahim collect stickers.
number of stickers number of stickers number of stickers = 4 : 7 : 15
Ibrahim has 24 more stickers than Matilda.
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Worked Solution & Example Answer:Rosie, Matilda and Ibrahim collect stickers - Edexcel - GCSE Maths - Question 6 - 2021 - Paper 1
Step 1
number of stickers number of stickers number of stickers = 4 : 7 : 15
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Answer
Let the number of stickers that Rosie has be represented as (4x), the number Matilda has as (7x), and the number Ibrahim has as (15x). Since Ibrahim has 24 more stickers than Matilda, we can write:
[ 15x = 7x + 24 ]
Solving for (x):
[ 15x - 7x = 24 ]
[ 8x = 24 ]
[ x = 3 ]
Now substituting back:
Rosie: (4x = 4(3) = 12)
Matilda: (7x = 7(3) = 21)
Ibrahim: (15x = 15(3) = 45)
Step 2
Ibrahim has more stickers than Rosie.
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Answer
To find out how many more stickers Ibrahim has than Rosie:
[ 45 - 12 = 33 ]
Therefore, Ibrahim has 33 more stickers than Rosie.